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sveticcg [70]
3 years ago
11

A certain type of bacteria increases continuously at a rate proportional to the number present. if there are 500 present at a gi

ven time and 1,000 present 2 hours later, how many hours (from the initial given time) will it take for the numbers to be 2,500
Mathematics
1 answer:
Dima020 [189]3 years ago
6 0
It will take 4 hours, this is because it said it adds 1000 after two hours, and it will add another 1000 two hours later which will give you your answer of four hours
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A service station has both self-service and full-service islands. On each island, there is a single regular unleaded pump with t
zaharov [31]

Answer:

a. 0.2

b. 0.42

c. 0.7

d. the solution is in the explanation

e. x and y are not independent

Step-by-step explanation:

a. from the joint probability mass function table,

p(x=1) and p(Y= 1)

= p(1,1) = 0.2

b. prob(0,0)+prob(0,1)+prob(1,0)+prob(1,1)

= 0.10 + 0.04 + 0.08 + 0.20

= 0.42

P(X ≤ 1 and Y ≤ 1) = 0.42

c. prob {X ≠ 0 and Y ≠ 0}

= prob(1,1) + prob(1,2) + prob(2,1) + prob(2,2)

= 0.20 + 0.06 + 0.14 + 0.30

= 0.7

d. we have to calculate the marginal pmf of x and y here.

<u>we have the x values as 0,1,</u>2

prob(x=0) = 0.1 + 0.04 + 0.02

= 0.16

prob(x=1) = 0.08 + 0.2 + 0.06

= 0.34

prob(x=2) = 0.06+0.14+0.3

= 0.50

<u>we have y values as 0,1,2</u>

prob(y=0) = .1+.08+.06

= 0.24

prob(y=1) = .04+.2+.14

= 0.38

prob(y = 2) = 0.02+0.06+0.3

= 0.38

P(X ≤ 1) = prob(x=0)+prob(x=1)

= 0.34+0.16

= 0.50

e. from the joint table we have this,

prob(1,1) = 0.2

prob(x=1) = 0.34

prob(y=1) = 0.38

then prob(x=1)*prob(y=1)

= 0.34*0.38

= 0.1292

therefore prob(1,1) is not equal to prob(x=1)*prob(y=1)

0.2≠0.1292

x and y are not independent

7 0
3 years ago
In quadrilateral ABCD, if m&lt;B=95°, m&lt;C=100, and m&lt;D=90°, find the measure of &lt;A
Zielflug [23.3K]
Rule: For any quadrilateral, the four angles always add to 360 degrees

A+B+C+D = 360
A+95+100+90 = 360 ... plug in the given angles
A+285 = 360
A+285-285 = 360-285 ... subtract 285 from both sides
A = 75

Answer: choice C) 75 degrees

5 0
3 years ago
For which values of P and Q does the following equation have infinitely many solutions
worty [1.4K]

Answer:

hello : P =  - 6  and Q = 35

Step-by-step explanation:

Px + 35=-6x + Q

calculate : x

Px + 6x =   Q - 35

(P+6) x =  Q - 35

this equation have infinitely many solutions if : P+6 = 0 and  Q - 35 =0

P =  - 6  and Q = 35...( values of P and Q)

5 0
4 years ago
Seis manzanas y 8 peras cuestan $26. ¿Cuanto cuesta cada pera y cada manzana sabiendo que cada manzana cuesta el triple de lo qu
Rom4ik [11]

Usando un sistema de ecuaciones, se encuentra que

  • Cada manzana cuesta $3.
  • Cada pera cuesta $1.

-----------------------

  • Un sistema de ecuaciones soluciona esta pergunta.
  • El custo de una manzana es x.
  • El custo de una pera es y.

-----------------------

  • <u>Seis manzanas y 8 peras cuestan $26</u>, o sea, 6x + 8y = 26
  • <u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y

-----------------------

Primero, encontramos el cuesto de una pera, substituyendo la segunda en la primera ecuación.

6x + 8y = 26

6(3y) + 8y = 26

18y + 8y = 26

26y = 26

y = \frac{26}{26}

y = 1

Cada pera cuesta $1.

-----------------------

<u>Cada manzana cuesta el triple de cada pera</u>, o sea, x = 3y = 3(1) = 3.

Cada manzana cuesta $3.

Se encuentra um problema similar en brainly.com/question/24646137

6 0
3 years ago
Solve 6x + 2y = 12 for y
ycow [4]

Answer:

there are many answers. The simplest one is x=1 y=3

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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